... and Schrödinger operators.
A calculus of observables on a Dirac particle
A characterization of coherent states from varying Planck's constant
A construction of quasi-modes using coherent states
A general approach for multiconfiguration method sin quantum molecular chemistry
A generalization of the radiation condition of Sommerfeld for -body Schrödinger operators
-harmonic equations and the Dirac operator.
A model of a radially symmetric cloud of self-attracting particles
We consider a parabolic equation which describes the gravitational interaction of particles. Existence of solutions and their convergence to stationary states are studied.
A multiplicity result for the Schrodinger-Maxwell equations with negative potential
We prove the existence of a sequence of radial solutions with negative energy of the Schrödinger-Maxwell equations under the action of a negative potential.
A note on a 3-dimensional stationary Schrödinger-Poisson system.
A note on weighted estimates for the Schrödinger operator.
A numerical perspective on Hartree−Fock−Bogoliubov theory
The method of choice for describing attractive quantum systems is Hartree−Fock−Bogoliubov (HFB) theory. This is a nonlinear model which allows for the description of pairing effects, the main explanation for the superconductivity of certain materials at very low temperature. This paper is the first study of Hartree−Fock−Bogoliubov theory from the point of view of numerical analysis. We start by discussing its proper discretization and then analyze the convergence of the simple fixed point (Roothaan)...
A partial regularity result for a class of stationary Yang-Mills in high dimension.
We prove, for arbitrary dimension of the base n greater than or equal to 4, stationary Yang-Mills Fields satisfying Borne approximability property are regular apart from a closed subset of the base having zero (n-4)- Hausdorff measure.
A partial solution for Feynman's problem – a new derivation of the Weyl equation.
A quantum-transport model for semiconductors : the Wigner-Poisson problem on a bounded Brillouin zone
A semi-classical picture of quantum scattering
A Two-Particle Quantum System with Zero-Range Interaction
We study a two-particle quantum system given by a test particle interacting in three dimensions with a harmonic oscillator through a zero-range potential. We give a rigorous meaning to the Schrödinger operator associated with the system by applying the theory of quadratic forms and defining suitable families of self-adjoint operators. Finally we fully characterize the spectral properties of such operators.
Absence of geometrical phases in the rotating stark effect
Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others.
Absolute spectral continuity for N-body Stark hamiltonians